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Segment Reporting (Schedule of Gross Premiums Written Allocated to the Territory of Coverage Exposure) (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written $ 547,755 $ 625,677 $ 977,343 $ 1,159,652 $ 407,766 $ 640,269 $ 827,415 $ 922,090 $ 3,310,427 $ 2,797,540 $ 2,374,576
Other                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 0 (7) 0
Property                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 1,760,926 1,440,437 1,111,263
Property | U.S. and Caribbean                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 978,063 954,269 743,226
Property | Worldwide                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 464,311 305,915 210,168
Property | Europe                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 144,857 49,486 37,611
Property | Japan                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 71,601 49,821 44,536
Property | Worldwide (excluding U.S.)                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 66,872 48,182 55,043
Property | Australia and New Zealand                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 19,273 14,151 13,729
Property | Other                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 15,949 18,613 6,950
Casualty and Specialty                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 1,549,501 1,357,110 1,263,313
Casualty and Specialty | U.S. and Caribbean                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 667,125 622,757 646,381
Casualty and Specialty | Worldwide                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 776,976 686,253 581,972
Casualty and Specialty | Europe                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 15,296 9,752 5,541
Casualty and Specialty | Worldwide (excluding U.S.)                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 31,734 10,104 13,840
Casualty and Specialty | Australia and New Zealand                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 3,667 4,141 5,073
Casualty and Specialty | Other                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Gross premiums written                 $ 54,703 $ 24,103 $ 10,506